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If x,y,z are non-zero real numbers, then...

If x,y,z are non-zero real numbers, then the inverse of `A=[[x,0,0],[0,y,0],[0,0,z]]` is

A

`[[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]]`

B

`(xyz)[[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]]`

C

`1/(xyz)[[x,0,0],[0,y,0],[0,0,z]]`

D

`1/(xyz)[[1,0,0],[0,1,0],[0,0,1]]`

Text Solution

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The correct Answer is:
A
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